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IWPEC
2004
Springer
15 years 5 months ago
Chordless Paths Through Three Vertices
Consider the following problem, that we call “Chordless Path through Three Vertices” or CP3V, for short: Given a simple undirected graph G = (V, E), a positive integer k, and t...
Robert Haas, Michael Hoffmann
SODA
2000
ACM
96views Algorithms» more  SODA 2000»
15 years 29 days ago
Improved Steiner tree approximation in graphs
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices terminals. We present a new polynomial-time heurist...
Gabriel Robins, Alexander Zelikovsky
84
Voted
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
14 years 11 months ago
Automated Generation of Search Tree Algorithms for Hard Graph Modification Problems
We present a framework for an automated generation of exact search tree algorithms for NP-hard problems. The purpose of our approach is two-fold--rapid development and improved up...
Jens Gramm, Jiong Guo, Falk Hüffner, Rolf Nie...
ECCC
2007
147views more  ECCC 2007»
14 years 11 months ago
Inapproximability of edge-disjoint paths and low congestion routing on undirected graphs
In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to...
Matthew Andrews, Julia Chuzhoy, Venkatesan Guruswa...
GD
2007
Springer
15 years 5 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth